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Finding the Fourth Proportional to 12,145.64, 16,762 and 6,840.96

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Solution

The fourth proportional to 12,145.64, 16,762 and 6,840.96 is: 9,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.64 : 16,762 = 6,840.96 : x
  2. Step 2: Convert to fraction form
    12,145.64/16,762 = 6,840.96/x
  3. Step 3: Cross multiply
    12,145.64x = 16,762 × 6,840.96
  4. Step 4: Simplify right side
    12,145.64x = 114,668,171.52
  5. Step 5: Solve for x
    x = 114,668,171.52/12,145.64
  6. Step 6: Final answer
    x = 9,441.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.